1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
e-lub [12.9K]
4 years ago
8

What is the y-intercept of the line passing through the point 5, -6 with a slope of -1 over 7

Mathematics
1 answer:
morpeh [17]4 years ago
5 0

Answer:

  • The y-intercept is (0, -37/7).

Explanation:

When you have one point and the slope of a line you can find its equation by using the point-slope form of the linear function:

  • m = slope
  • point = (a, b)
  • point-slope equation: (y - b) = m (x - a).

Now substitute m = -1/7 and (a,b) = (5, - 6)

  • y - (-6) = -1/7 (x - 5)

Solve for y:

  • y + 6 = - 1/7 ( x - 5)
  • 7y + 7(6) = - (x - 5)
  • 7y + 42 = - x + 5
  • 7y = - x + 5 - 42
  • 7y = - x - 37
  • y = -(1/7)x - 37/7 ← this is the slope-intercept form of the equation.

The y-intercept is the point when x = 0. So, the corresponding y-coordinate is the constant term in the last equation:

  • y = 0 - 37/7 = - 37/7

And the y-intercept is the point (0, -37/7).

You might be interested in
How much is 5.802 less than 74.14<br>​
Wewaii [24]

Answer:

68.338

Step-by-step explanation:

to know how much is less than we have to substract

74.14-5.802=68.338

4 0
3 years ago
Multiply 2(x+3)/x(x-1)*4x(x+2)/10(x+3)
KIM [24]

Answer:

The expression simplifies to \frac{4(x+2)}{5(x-1)}.

Step-by-step explanation:

The expression

\frac{2(x+3)}{x(x-1)} *\frac{4x(x+2)}{10(x+3)}

can be rearranged and written as

\frac{8x(x+3)(x+2)}{10x(x-1)(x+3)}.

In this form the (x+3) terms in the numerator and in the denominator cancel to give

\frac{8x(x+2)}{10x(x-1)}.

The x's are present both in the numerator and in the denominator, so they also cancel, and the fraction \frac{8}{10} simplifies to \frac{4}{5}, so finally our expression becomes:

\boxed{\frac{4(x+2)}{5(x-1)}}

Which is our answer:)

6 0
3 years ago
Which of the following graphs represent a nonproportional relationship? Select all that apply.
natka813 [3]

Answer:

2nd, 4th and 5th one

Step-by-step explanation:

Hey There!

So remember in order for it to be a proportional relationship it has to be a straight line and it has to go through the origin (0,0)

The 2nd, 4th and 5th ones are non proportional relationships

Why? Well because they don't go through the origin

3 0
3 years ago
Read 2 more answers
Can you add and subtract integers and surds together?
Ne4ueva [31]

Answer:

Both of these examples are wrong. You cannot add/subtract integers and square roots together, however, you could add square roots together if they have the same number under the square root. For example, 2 - 2√6 will stay as 2 - 2√6 because they aren't like terms. 25 + 5√5 + 5√5 + 5 = 30 + 10√5 because 25 + 5 = 30 and 5√5 + 5√5 = 10√5. We can add 5√5 and 5√5 together because they have the same number under the square root. If we were to compute √2 + √3, we would just leave it as is because they don't have the same number under the square root.

4 0
3 years ago
A store has a 20% off sale on pants. With this discount, the price of one pair of pants before tax is $15.20.
algol13

Answer:

19$

Step-by-step explanation:

Because 19$ 20% off=15.20 and you added taxes]

Have a great day :}

5 0
3 years ago
Read 2 more answers
Other questions:
  • Which ex press ion shows the perimeter of the quadrilateral below?
    13·2 answers
  • Find the zeros in the function 3x2+ 6 = 0
    11·1 answer
  • PLEASE HELP IM SO CONFUSED <br> Which expression gives the volume of a sphere with radius 8?
    14·1 answer
  • Ana Maria’s heart beats 225 times in 3 minutes. How many times does her heart beat per minute?
    6·1 answer
  • (-26) + (+6) - (-67)
    15·1 answer
  • Find the number represented by 2² . 32 . 5.
    11·1 answer
  • What is the vertex and axis of symmetry for y=4x^2-12x+9?
    8·1 answer
  • When you go to a restaurant you pay a 15% tip on a $80 bill. How much total did you pay?
    13·2 answers
  • Charlie's net worth is -35,354. which of the following is true?
    13·2 answers
  • People are randomly chosen from a group of 7 boys and 5 girls. Determine which scenario is more likely to happen.
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!